Question

What is the quotient StartFraction 2 m Superscript 9 Baseline n Superscript 4 Baseline Over Negative 4 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFractionin simplest form? Assume m not-equals 0, n not-equals 0.
Negative StartFraction m Superscript 12 Baseline n Superscript 6 Baseline Over 2 EndFraction
Negative StartFraction m Superscript 27 Baseline n Superscript 8 Baseline Over 2 EndFraction
6 m Superscript 12 Baseline n Superscript 6 Baseline
8 m Superscript 12 Baseline n Superscript 6 Baseline

Answer 1

(2 m^9 n^4) / (-4 m^{-3} n^{-2}) = (2/ -4) m^{9-(-3)} n^{4-(-2)} = -1/2 · m^{12} n^{6} = -(m^{12} n^{6})/2.

So the correct choice is: - (m^12 n^6)/2.